Yuji Kobayashi

activity

19932023

most citedA complete classification of three-dimensional algebras over

R

and

C

2 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing math.RAShow all

3 papers · 1 filter

math.RA2023★ 1 cited

Multipliers and weak multipliers of algebras

Yuji Kobayashi, Sin-Ei Takahasi

We study general properties of multipliers and weak multipliers of algebras. We apply the results to determine the (weak) multipliers of associative algebras and zeropotent algebra…

math.RA2019

A new invariant under congruence of nonsingular matrices

Kiyoshi Shirayanagi, Yuji Kobayashi

For a nonsingular matrix $A$ , we propose the form $T r (^{t} A A^{- 1})$ , the trace of the product of its transpose and inverse, as a new invariant under congruence of nonsingular matr…

math.RA2019★ 2 cited

A complete classification of three-dimensional algebras over $R$ and $C$

Yuji Kobayashi, Kiyoshi Shirayanagi, Sin-Ei Takahasi +1

We provide a complete classification of three-dimensional associative algebras over the real and complex number fields based on a complete elementary proof. We list up all the mult…